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72059064 = 23371138993
BaseRepresentation
bin1000100101110…
…00100010111000
312000120222110020
410102320202320
5121421342224
611052250440
71533330510
oct422704270
9160528406
1072059064
1137748050
1220170a20
1311c0cacc
1497da840
1564d5c79
hex44b88b8

72059064 has 64 divisors (see below), whose sum is σ = 224605440. Its totient is φ = 18716160.

The previous prime is 72059051. The next prime is 72059087. The reversal of 72059064 is 46095027.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17649 + ... + 21344.

It is an arithmetic number, because the mean of its divisors is an integer number (3509460).

Almost surely, 272059064 is an apocalyptic number.

It is an amenable number.

72059064 is an abundant number, since it is smaller than the sum of its proper divisors (152546376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72059064 is a wasteful number, since it uses less digits than its factorization.

72059064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39020 (or 39016 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 72059064 is about 8488.7610403403. The cubic root of 72059064 is about 416.1304909913.

The spelling of 72059064 in words is "seventy-two million, fifty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 38993 77986 116979 155972 233958 272951 311944 428923 467916 545902 818853 857846 935832 1091804 1286769 1637706 1715692 2183608 2573538 3002461 3275412 3431384 5147076 6004922 6550824 9007383 10294152 12009844 18014766 24019688 36029532 72059064